If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. How long is a side of the original square?
2 answers:
Answer: The side of the original square is 4 feet.
Step-by-step explanation:
Given , the sides of the original square is lengthened by 7 feet.
The area of the new square = 121 square feet.
Let the original side of square be<em> 'x'.</em>
The new side = <em>x+7</em>
Area of new square =(side)² = <em>(x+7)²</em>
As per given , we have
Taking square roots on both sides , we get
Hence, the side of the original square is 4 feet.
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Step-by-step explanation:
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Answer:
<h3>Explanation:
1.) Rewrite √24 = Rewrite √54 =
Divide both terms by the denominator; √6 cancels. 2-3 = -1
2.) Rewrite as ×
The 3's cancel. 10/2 = 5√2 in the numerator.
√5 × √5 = 5 in the denominator. The 5's cancel.
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3.) Divide the terms in the numerator by the term in the denominator.
√2's cancel. 10π/2 = 5π 8π/2 = 4π
Subtract and we are left with π = 3.14159
4.) The square roots are reciprocals. They multiply to 1
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